Article
Massless particles in three-dimensional Lorentzian warped products
Author/s | Cabrerizo Jaraíz, José Luis
Fernández Andrés, Manuel Ortega Titos, Miguel |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2007-01 |
Deposit Date | 2016-10-07 |
Published in |
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Abstract | The model of a massless relativistic particle with curvature-dependent Lagrangian is well known in (d+1)-dimensional Minkowski space. For other gravitational fields less rigid than those with constant (zero) curvature only ... The model of a massless relativistic particle with curvature-dependent Lagrangian is well known in (d+1)-dimensional Minkowski space. For other gravitational fields less rigid than those with constant (zero) curvature only a few results are known. In this paper, we give a geometric approach in order to solve the field equations associated with that Lagrangian in the setting of an interesting three-dimensional background, namely, a three-dimensional warped product with Lorentzian fibers. When some rigidity conditions are imposed to the fiber (constant Gauss curvature), the trajectories can be totally described. Several examples help us clarify this. |
Project ID. | MTM2004-04934-C04
FQM-324 FQM-327 |
Citation | Cabrerizo Jaraíz, J.L., Fernández Andrés, M. y Ortega Titos, M. (2007). Massless particles in three-dimensional Lorentzian warped products. Journal of Mathematical Physics, 48 (1), 012901-1-012901-12. |
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